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Finding the Fourth Proportional to 165,879.30, 248,855.40 and 53,540.40

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Solution

The fourth proportional to 165,879.30, 248,855.40 and 53,540.40 is: 80,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,879.30 : 248,855.40 = 53,540.40 : x
  2. Step 2: Convert to fraction form
    165,879.30/248,855.40 = 53,540.40/x
  3. Step 3: Cross multiply
    165,879.30x = 248,855.40 × 53,540.40
  4. Step 4: Simplify right side
    165,879.30x = 13,323,817,658.16
  5. Step 5: Solve for x
    x = 13,323,817,658.16/165,879.30
  6. Step 6: Final answer
    x = 80,322.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.